A Mazur-Ulam theorem for Mappings of conservative distance in non-Archimedean $n$-normed spaces

Hahng-Yun Chu, Se-Hyun Ku

Published 2009-12-10Version 1

In this article, we study the notions of $n$-isometries in non-Archimedean $n$-normed spaces over linear ordered non-Archimedean fields, and prove the Mazur-Ulam theorem in the spaces. Furthermore, we obtain some properties for $n$-isometries in non-Archimedean $n$-normed spaces.